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A298986 a(n) = [x^n] Product_{k>=1} (1 - n*x^k)^k. 3
1, -1, -4, 9, 48, 100, -756, -3479, -1600, 24462, 225900, 364573, -643536, -9251736, -36989316, -32397975, 165039872, 1725828525, 5338814652, 8082713829, -26321848400, -233434232766, -811526778964, -1731126953532, 1151302859712, 23632432765000, 113461901639788, 287935019845749 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..27.

MATHEMATICA

Table[SeriesCoefficient[Product[(1 - n x^k)^k, {k, 1, n}], {x, 0, n}], {n, 0, 27}]

CROSSREFS

Cf. A073592, A266964, A292132, A297324, A298985, A298987, A298988.

Sequence in context: A048892 A108849 A025558 * A103933 A256880 A327699

Adjacent sequences:  A298983 A298984 A298985 * A298987 A298988 A298989

KEYWORD

sign

AUTHOR

Ilya Gutkovskiy, Jan 31 2018

STATUS

approved

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Last modified December 13 22:55 EST 2019. Contains 329974 sequences. (Running on oeis4.)